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NEW YORK (CBSNewYork/AP) – Even as fast-food chains tout their healthy offerings, they’re also coming up with fatty new treats to keep customers interested. Case in point: Dunkin’ Donuts is adding a doughnut breakfast sandwich to its national menu next week.

The sandwich, which comes with fried eggs and bacon between a split glazed doughnut, will become a part of the permanent menu starting June 7, which the chain claims is “National Donut Day.”

Notably, Dunkin’ Donuts says the doughnut sandwich clocks in at 360 calories, less than the 390 calories for the turkey sausage sandwich it recently introduced for people looking to eat better.

Stan Frankenthaler, executive chef and vice president of product innovation at Dunkin’ Donuts, said the chain’s recent offerings of a breakfast sandwich with turkey sausage and the new doughnut sandwich are in line with its goal of offering as much variety as possible.

Already, he noted that people can customize sandwiches in multiple ways, such as requesting that it be made with a certain type of bagel.

When asked whether a customer will also be able to order a sandwich on any type of doughnut, such as a chocolate cake doughnut, Frankenthaler said, “I’m sure the store will do that for you.”